blackest wrote:
I read that page last week
After a long evening’s thought on the subject, and running a few questions past my friend and fellow engineer, I believe I have a (reasonable, though perhaps not perfect!) handle on the subject…
If the image signal and the image noise had similar properties, averaging neighboring pixels in order to reduce the resolution would not improve the signal-to-noise ratio. However, signal and noise have different properties.
There is (in general) no relationship between the noise in neighboring pixels. Technical junkies call this “no correlation”.
Correlation is the long-term average of the product of two signals N1 x N2. If two signals have no correlation, then the mean of their product is zero.
The signal in neighboring pixels has a high degree of correlation. If you add uncorrelated signals, then their “power” is added, meaning the combined signal is the square root of the combined power.
N_comb = sqrt(N1^2+N2^2) and for N1 = N2 = N we get N_comb = sqrt(2)*N, where N1, N2 are root-mean-square (RMS) values of the noise.
However, if signals are highly correlated, then their sum is effectively the sum of their magnitudes:
S_comb = S1+S2 and for S1=S2=S we get S_comb = 2*S
So, if we add the content of two neighboring pixels, we get:
SNR_comb = S_comb/N_comb = sqrt(2)*(S/N)
So, the signal-to-noise increases by square root of two, which is about 40%.
Now, you may say that the signal in neighboring pixels is not always 100% correlated. The correlation between the signals depends on the image content. If the image content is very smooth, the correlation is high. If the image content varies very fast, the correlation is low. Of course, noise will be more noticeable in smooth areas and the effect of resampling the image will be stronger.
So that seems to say you can get up to a 40% improvement by resizing especially where detail is low anyway its less effective in highly detailed areas but that tends to be where noise is hardest to spot
I read that page last week br i After a long eve... (
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That's a mathematically intense explanation that probably went over a lot of heads.
You could also use a sensor with larger pixels in the first place.
A Df with only 16MP is inherently less susceptible to noise than a 24, 36 or 45 MP sensor if for no other reason that you are less likely to look at a larger version at 100%.
You might also discover that you don't really need all of those extra MP for most of your images.